120789168095232 has 1870 divisors, whose sum is σ = 455249116897162. Its totient is φ = 31856483893248.

The previous prime is 120789168095227. The next prime is 120789168095257. The reversal of 120789168095232 is 232590861987021.

120789168095232 is a `hidden beast` number, since 1 + 20 + 7 + 8 + 9 + 1 + 6 + 80 + 9 + 523 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 83623270219776 + 37165897875456 = 9144576^2 + 6096384^2 .

It is a super-2 number, since 2×120789168095232² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a zygodrome in base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 120789168095232.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 109 ways as a sum of consecutive naturals, for example, 9291474468858 + ... + 9291474468870.

Almost surely, 2^{120789168095232} is an apocalyptic number.

120789168095232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120789168095232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227624558448581).

120789168095232 is an abundant number, since it is smaller than the sum of its proper divisors (334459948801930).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

120789168095232 is an frugal number, since it uses more digits than its factorization.

120789168095232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 63.

The spelling of 120789168095232 in words is "one hundred twenty trillion, seven hundred eighty-nine billion, one hundred sixty-eight million, ninety-five thousand, two hundred thirty-two".